Rings of Continuous Function Lecture Notes in Pure and Applied Mathematics Series

This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.

1. Some Genealogies in Rings of Continuous Functions 2. A Cardinal Generalization of z-Embedding 3. The Birth of the Stone-cech Compactification 4. Generalized Perfect Maps and a Theorem of I. Juhasz 5. On Initially K—Compact Spaces 6. Relatively Uniformly Complete Φ–Algebras 7. Extreme Positive Operators and Function Spaces 8. A Note on Extending Zero Sets from the Real Line 9. Rings of Continuous Functions are Rings: A Survey 10. C(X) Has No Proper Functorial Hulls 11. Algebraic Closures of ℓ-Groups of Continuous Functions 12. Unsolved Problems on Algebraic Aspects of C(X) 13. Prime Ideals in Function Rings 14. Partial Extension of Bounded Functions to Compactification 15. The Extension of Uniformly Continuous Banach Space-Valued Mappings 16. The Long Line as a Remainder 17. N—Compactness, Metrizability, and Covering Dimension 18. Concerning the Equation C(Π{Xa}) = C(Π{WXa}) 19. Some Topological Characterizations of the Generalized Continuum Hypothesis 20. More Realcompact Spaces 21. Hausdorff Extension Properties: A Summary 22. Problem Section

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Charles E. Aull